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Simplifying -4(z + -1) = -3(z + 6) Reorder the terms: -4(-1 + z) = -3(z + 6) (-1 * -4 + z * -4) = -3(z + 6) (4 + -4z) = -3(z + 6) Reorder the terms: 4 + -4z = -3(6 + z) 4 + -4z = (6 * -3 + z * -3) 4 + -4z = (-18 + -3z) Solving 4 + -4z = -18 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 4 + -4z + 3z = -18 + -3z + 3z Combine like terms: -4z + 3z = -1z 4 + -1z = -18 + -3z + 3z Combine like terms: -3z + 3z = 0 4 + -1z = -18 + 0 4 + -1z = -18 Add '-4' to each side of the equation. 4 + -4 + -1z = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = -18 + -4 -1z = -18 + -4 Combine like terms: -18 + -4 = -22 -1z = -22 Divide each side by '-1'. z = 22 Simplifying z = 22
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